I asked my Colombian friend and he said "vuelta" is like a "run-around." So a phrase like "no le doy vueltas" would mean something like "I don't give people the run-around" or "I don't beat around the bush." So I guess "vuelta" is the opposite of being direct or straight-forward.
la vuelta
Vuelta a La Rioja was created in 1957.
Vuelta a la Independencia Nacional was created in 1979.
La Vuelta al nido was created in 1938.
La Vuelta de Rocha was created in 1937.
The cast of La vuelta - 2006 includes: Daniel Guerrero
La media vuelta is a Spanish production filmed in Spain.
La Vuelta de Martín Fierro was created in 1974.
Vuelta a la Comunidad de Madrid was created in 1983.
The cast of A la vuelta de la esquina - 2003 includes: Catalina Jose
The cast of La vuelta a la tortilla - 2013 includes: Pepa Charro Paqui Montoya Silvia Rey
La Vuelta Al Hogar - 2007 is rated/received certificates of: Argentina:Atp